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Solving a Quadratic Equation by Factorization Method

Solve: 2x-4=...

Question

Solve:
$2 (x - 4) = 4 x + 2$

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Solution

$2 (x - 4) = 4 x + 2$
$\Rightarrow 2 x - 8 = 4 x + 2$
$\Rightarrow 2 x - 4 x = 2 + 8 = 10$
$\Rightarrow - 2 x = 10$
$\Rightarrow x = \frac{10}{- 2} = - 5$
$∴ x = - 5$

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